Clarification about percentage calculus

Why if we want to know what percentage of 16 is 4 we do

4/16

and not

16/4

?

4/16 gives you the answer, because it's equal to 0.25, that is equal to 25%, while 16/4 doesn't (I guess); but I don't understand the logic. It seems more natural to me to do 16/4, because if I want to know the percentage I would split the 16 by 4 to know how many parts does the 4 create (in my logic the number of parts created define the percentage). So if I try to do 16/4 I get 4, but then I don't know how to go on to get 25%. Maybe there's a way to obtain the result in the way I'm proposing but I don't know it.

I hope my question doesn't sound stupid, but this is one of the many basic things that I'm lacking in math to fully understand its logic.